Writing a sequence in terms of n.

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Homework Help Overview

The discussion revolves around writing a sequence Vn in terms of n, based on the recursive relation Vn+1=Vn*cos(pi/2^(n+2)). Participants are exploring the implications of this equation and how to express Vn correctly.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants attempt to manipulate the recursive equation by substituting n with n-1 to derive a formula for Vn. There are questions regarding the correctness of these manipulations.

Discussion Status

Some participants express uncertainty about the correctness of their attempts, while others provide affirmations or suggest further exploration of the sequence. The conversation includes a mix of attempts to clarify the mathematical reasoning involved.

Contextual Notes

The original poster mentions that this is an extra credit question, indicating a potential pressure to ensure accuracy. There are also off-topic discussions about LaTeX software, which may distract from the main mathematical focus.

mtayab1994
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Homework Statement



given: Vn+1=Vn*cos(pi/2^(n+2))

Homework Equations



Write a sequence Vn in terms of n

The Attempt at a Solution



we substitute n with n-1 and we get:

V(n-1)+1= Vn-1*cos(pi/2^(n-1+2))

Vn=Vn-1*cos(pi/2^(n+1)

Is this correct?
 
Last edited:
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mtayab1994 said:

Homework Statement



given: Vn+1=Vn*cos(pi/2^(n+2))

Homework Equations



Write a sequence Vn in terms of n

The Attempt at a Solution



we substitute n with n-1 and we get:

V(n-1)+1= Vn-1*cos(pi/2^(n-1+2))

Vn=Vn-1*cos(pi/2^(n+1)

Is this correct?
Yes: Vn = Vn-1*cos(π/2(n+1)) .
 
Alright it was an extra credit question in class just wanted to make sure if it was correct. Thank you very much.
 
Off topic question, do u know any good latex software i can't used the stuff given in the forums.
 
I mostly use the LaTeX from the Forums.

To check my code I sometimes use mimeTeX online.

Do a search in these Forums.
 
Alright really appreciate it.
 
Google Lyx and/or Miktex.
 
LCKurtz said:
Google Lyx and/or Miktex.

Yea i have them, but when i type up something in there and I try putting it up in here it comes up all weird.
 
mtayab1994 said:
Yea i have them, but when i type up something in there and I try putting it up in here it comes up all weird.

Oh, I didn't understand that's what you wanted to do. What problem are you having using the forum TeX tools for the forum?
 
  • #10
LCKurtz said:
Oh, I didn't understand that's what you wanted to do. What problem are you having using the forum TeX tools for the forum?

It's not a 'problem' but sometimes when I want to type something in it doesn't come up how I want it. This is an example with Lyx:

U_{n+1}=V_{n}+U_{n}
 
  • #11
mtayab1994 said:
It's not a 'problem' but sometimes when I want to type something in it doesn't come up how I want it. This is an example with Lyx:

U_{n+1}=V_{n}+U_{n}

I'm confused. That is an example of what with Lyx?[tex]U_{n+1}=V_{n}+U_{n}[/tex] displays OK here with tex tags.
 
  • #12
Yea i can't get it to come out like that how can i do it?
 
  • #13
You have to enclose tex expressions with tex or itex tags. They are like the $$ or $ tags in regular tex. Right click on the expression to see the source.

[Edit] Woops, that doesn't show the tags. Start to reply with a quote to the post with the tex and you will see the tex tags. It's like this: [tox]Put your tex here[/tox] and use tex instead of tox. (If I use tex you won't see the tags).
 
Last edited:
  • #14
[tex]U_{n+1}=V_{n}+U_{n}[/tex]
alright i got it to work thanks a million!
 
  • #15
Yep. You can use itex for inline and you can preview your posts before you submit them to see it's all OK.
 

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